A convergence result for linearised Regge calculus
- 1 September 1988
- journal article
- Published by IOP Publishing in Classical and Quantum Gravity
- Vol. 5 (9) , 1187-1192
- https://doi.org/10.1088/0264-9381/5/9/004
Abstract
A definition of the convergence of sequences of linearised configurations of Regge calculus in flat Euclidean space is proposed. This definition has the property that solutions of the linearised Regge equations converge to analytic solutions of the linearised Einstein equations.Keywords
This publication has 8 references indexed in Scilit:
- The geometry of classical Regge calculusClassical and Quantum Gravity, 1987
- The fundamental theorem of linearised Regge calculusPhysics Letters B, 1987
- Quantum Regge calculus in the Lorentzian domain and its Hamiltonian formulationClassical and Quantum Gravity, 1986
- The Einstein tensor in Regge's discrete gravity theoryClassical and Quantum Gravity, 1986
- The quantization of Regge calculusThe European Physical Journal C, 1984
- On the curvature of piecewise flat spacesCommunications in Mathematical Physics, 1984
- Quantum Regge calculusPhysics Letters B, 1981
- General relativity without coordinatesIl Nuovo Cimento (1869-1876), 1961